wo: 9-byte modulo

While working on a code golf challenge in dc today, my mind turned to if and how I could solve the same challenge with the current instruction set of wo. We left off in the middle of wo5, with six slots to go and the promise of division. Internally, I was filling a couple of slots with additional stack manipulation instructions, with three slots still open. The goal isn’t necessarily to be able to do everything (or, perhaps, much of anything) efficiently at this point, but to leave that bit-shaving option on the table, letting the programmer do the most with the least. Since there’s no fractional input, division was a no-brainer: now you can enter fractions, you can waste a little time making a reciprocal for multiplication, and you can (of course) divide.


wo: Registers

Thoughts on wo have slowed down slightly, largely because I think I’ve gotten a lot of easy answers out of the way. I haven’t yet addressed – no. 4, REGISTER. Delegating as much responsibility to internal registers as possible, and allowing a wo programmer to modify these registers is paramount to opening up the extent of what can be done inside of a limited instruction set. As few system registers as possible will be reset at every turn – this is likely necessary for something like ‘stack depth,’ as it is a valuable value for a user to be able to fetch, but for a user to change it would be both unpredictable and of limited value.


wo: Stacks

At some point the question of stacks in wo needs to come up. How many, how do they work, how do we manipulate them. As mentioned in the first post in the matter, I’ve been operating under the premise of a stack that does not shrink (unless cleared). It takes the theoretically-infinite stack of RPL, and combines it with the repeating bottom of RPN. Thus (pseudocode, obvs):

> 1 2 PRINT_STACK
1
2

> 3 PRINT_STACK
1
2
3

> DROP PRINT_STACK
1
1
2

wo: Implementing the interpreter

I’ve been thinking a lot about instructions for wo, how to eke the most out of low-byte-count programs. And, while I haven’t touched on it here yet (soon!), I’ve been thinking a lot about what system registers could prove useful as well. But a big part of me wonders how I’ll implement the thing, if I ever do. That so many esoteric/golfing languages are just layers on top of another scripting language makes me a bit grumpy, and that isn’t a path I’d like to take with wo. My plan would be to write the reference interpreter in go, but I wouldn’t discount ANSI C either. That decision is trivial, though.


wo: A truth machine in wo3

In wo3, we get two extra instructions for a total of four. OISCs can be Turing complete, so four instructions should be enough to give us some brunt. At this point, some amount of math is probably a good idea. Instruction three, then, is ADD, which does what you think it does. Since we’re capable of entering negatives, we can pretty much get to any number we want at this point, albeit terribly inefficiently.

Branching would be very convenient at this point as well, so a simple SKIPZERO instruction gets the no. 4 position; it pops a value from the stack and if that value is zero, it skips until past the next instruction. All odd (input) words are skipped until an even (instruction) word is encountered, at which point that is skipped and the next word is interpreted. Skip if zero is a standard simple conditional branch, but I’ll likely change this to skip if (skip register), so a user can theoretically set the branch condition via a register (with a command certain to be available in wo4).


wo: Numbers

A draft of this post began:

A few thoughts on numbers in wo. Numbered input is pushed to the stack via LSB==1. LSB==0 signifies an instruction, so in either case, effective word size is 1 bit less than total word size. The stack itself won’t care what sort of numbers it’s holding, input is the tricky part. wo3 would allow you to enter the integers 0-3, or 2-1 depending on unsigned vs. signed input. wo4 0-7 or 4-3. These aren’t big numbers to work with, so getting instructions in early to allow for more complicated input would be welcome. The easiest solution here is simply getting the WORDSIZE instruction out of the way as early as possible, ideally in two bits. With signed input, this would only get a user up to a 4-bit word size with 6 bits of input. Unsigned, a user could get up to 6-bit word size in the same 6-bit input, which raises the question of whether allowing a single word input of 1 is more important than more immediate access to slightly higher integers. Signed input would reduce the need for a sign-changing instruction at the low end of the set, and there are little hacks that could be put in place – for example, if 1s’ complement was used instead of 2s’, 0 could act as a stand-in for the next highest byte size or the like. Thus 6 bits of input could immediately kick word size up to a full byte.

As outlined in this post killing off WORDSIZE, I have changed my thoughts on that matter. I do think input will (by default) be 1s’ complement, with 0 receiving special treatment, what I am internally referring to as the Magic Number or MNum. MNum would allow some instructions to serve multiple purposes, which could theoretically put us on the path to larger integers at lower word sizes. Additionally, MNum can act as a stand-in for a predetermined value for other instructions, again opening up some integer growth options.


wo: Word size

A few things have occurred to me regarding the WORDSIZE instruction in wo. Namely, that changing word size in the middle of a program could be entirely unpredictable – my first thought would be to break every word out into an array before interpreting (aside from the WORDSIZE instruction itself), but that would be impossible – the stack would necessarily have to be computed before WORDSIZE could execute. Even before this, I was wondering if I should really prioritize it so low in the instruction set, or if it just turns into an abuse of a reduced instruction set claim.